Hello,
I've checked the death/burial records and can't find a death record for John Mills, so entry for him in the Memorial Inscriptions, the entry for Jessie reads:-
Erected by Jessie Mills in memory of her grandmother Margaret Kidd who died 2nd Sept 1872, and mohter Jessie Morton who died 12th September 1837, father Peter Mills died 29th Dec 18?4, also two daughters who died in infancy.
1841 Census has:
MORTON Janet F 30 Independent West Lothian
MILLES Peter M 35 Merchant Outside Census County (1841)
1851 Census has Peter Mills, aged 49, head, Merchant, 21 Mills Cottage, Bo'ness born Aberdeen.
daughter Jessie aged 6 at the same address, born Bo'ness with servant Janet Robertson aged 16, born Bo'ness.
That's all I've managed to find. Hope it's of some help.
cheers ... Meg